Fractals in multimedia

The IMA volumes in mathematics and its applications - Volume 132

Michael F. Barnsley, Dietmar Saupe, Edward R. Vrscay

278 pages, parution le 17/10/2002

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Résumé

This volume describes the status of fractal imaging research and looks to future directions. It will be useful to researchers in the areas of fractal image compression, analysis, and synthesis, iterated function systems, and fractals in education. In particular it includes a vision for the future of these areas. It is intended to provide an efficient means by which researchers can look back over the last decade at what has been achieved, and look forward towards second-generation fractal imaging. The chapters in themselves are not meant to be detailed reviews or expositions, but to serve as signposts to the state of the art in their areas. What is important is what they mention and what tools and ideas are seen now to be relevant to the future. The contributors, a number of whom have been involved since the start, are active in fractal imaging, and provide a well-informed viewpoint on both the status and the future. Most were invited participants at a meeting on "Fractals in Multimedia" held at the IMA in January 2001. Some goals of the minisymposium, shared with this volume, were to demonstrate that the fractal viewpoint leads to a broad collection of useful mathematical tools, common themes, new ways of looking at and thinking about existing algorithms and applications in multimedia, and to consider future developments.We try to further define the set of those intuitions and insights that constitute the fractal viewpoint, the mathematics that sustains it, and to identify areas where it has potential to increase understanding and lead to new discoveries.Whom this book is for:
This book should be useful to commercial and university researchers in the rapidly evolving field of digital imaging, specifically, chief information officers, professors, software engineers, and graduate students in the mathematical sciences. While much of the content is quite technical, it contains pointers to the state-of-the-art and the future in fractal imaging.Contents

Introduction to IMA fractal proceedings
Uniqueness of invariant measures for place-dependent random iterations of functions
Iterated function systems for lossless data compression
From fractal image compression to fractal-based methods in mathematics
Fractal image compression with fast local search
Wavelets are piecewise fractal interpolation functions
Self-affine vector measures and vector calculus on fractals
Using the Picard contraction mapping to solve inverse problems in ordinary differential equations
Fractal modulation and other applications from a theory of the statistics of dimension
Signal enhancement based on Hoelder regularity analysis
Iterated data mining techniques on embedded vector modeling
A web-based fractal geometry course for non-science students
List of minisymposium participants

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Michael F. Barnsley, Dietmar Saupe, Edward R. Vrscay
Parution	17/10/2002
Nb. de pages	278
Format	16 x 24
Couverture	Relié
Poids	516g
Intérieur	Noir et Blanc
EAN13	9780387955216
ISBN13	978-0-387-95521-6